dorsal/arxiv
View SchemaClassical approaches to Higgs mechanism
| Authors | Assen Kyuldjiev |
|---|---|
| Categories | |
| ArXiv ID | physics/9912020 |
| URL | https://arxiv.org/abs/physics/9912020 |
Abstract
The standard approach to Higgs mechanism is based on the existence of unitary gauge but, unfortunately, it does not come from a coordinate change in the configuration space of the initial model and actually defines a new dynamical system. So, it is a questionable approach to the problem but it is shown here that the final result could still make sense as a Marsden-Weinstein reduced system. (This reduction can be seen as completely analogous to the procedure of obtaining the "centrifugal" potential in the classical Kepler problem.) It is shown that in the standard linearization approximation of the Coulomb gauged Higgs model geometrical constraint theory offers an explanation of the Higgs mechanism because solving of the Gauss law constraint leads to different physical submanifolds which are not preserved by the action of the (broken) global U(1) group.
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"abstract": "The standard approach to Higgs mechanism is based on the existence of unitary\ngauge but, unfortunately, it does not come from a coordinate change in the\nconfiguration space of the initial model and actually defines a new dynamical\nsystem. So, it is a questionable approach to the problem but it is shown here\nthat the final result could still make sense as a Marsden-Weinstein reduced\nsystem. (This reduction can be seen as completely analogous to the procedure of\nobtaining the \"centrifugal\" potential in the classical Kepler problem.) It is\nshown that in the standard linearization approximation of the Coulomb gauged\nHiggs model geometrical constraint theory offers an explanation of the Higgs\nmechanism because solving of the Gauss law constraint leads to different\nphysical submanifolds which are not preserved by the action of the (broken)\nglobal U(1) group.",
"arxiv_id": "physics/9912020",
"authors": [
"Assen Kyuldjiev"
],
"categories": [
"physics.gen-ph"
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"title": "Classical approaches to Higgs mechanism",
"url": "https://arxiv.org/abs/physics/9912020"
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